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11083842 = 2327112727
BaseRepresentation
bin101010010010…
…000001000010
3202212010011200
4222102001002
510314140332
61033322030
7163132260
oct52220102
922763150
1011083842
116290500
123866316
1323b0cb3
141687430
15e8e17c
hexa92042

11083842 has 72 divisors (see below), whose sum is σ = 30209088. Its totient is φ = 2874960.

The previous prime is 11083819. The next prime is 11083867. The reversal of 11083842 is 24838011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14883 + ... + 15609.

Almost surely, 211083842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11083842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104544).

11083842 is an abundant number, since it is smaller than the sum of its proper divisors (19125246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11083842 is a wasteful number, since it uses less digits than its factorization.

11083842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11083842 is about 3329.2404539174. The cubic root of 11083842 is about 222.9616187371.

It can be divided in two parts, 1108 and 3842, that added together give a triangular number (4950 = T99).

The spelling of 11083842 in words is "eleven million, eighty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 727 847 1089 1386 1454 1694 2178 2181 2541 4362 5082 5089 6543 7623 7997 10178 13086 15246 15267 15994 23991 30534 45801 47982 55979 71973 87967 91602 111958 143946 167937 175934 263901 335874 503811 527802 615769 791703 1007622 1231538 1583406 1847307 3694614 5541921 11083842